Beginners Horoscope Maker and Reader

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Beginners Horoscope Maker & ReaderElbert Benjamine

UY UW

The CofL Press www.light.org

THIS IS A BROTHERHOOD OF LIGHT BOOK PUBLISHED BY THE COFL PRESS

Copyright 2011 by The Church of Light All rights reserved under International and Pan-American Copyright Conventions. Published in the United States by The Church of Light, Albuquerque, New Mexico. www.light.org. The Brotherhood of Light emblem found on the title page of this book is a registered trademark of The Church of Light

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ForewordThis book was originally published by The Aries Press, Chicago, Illinois, in 1943 as two volumes: Beginner's Horoscope Maker and Beginner's Horoscope Reader. Both were authored by Elbert Benjamine. Part One, the Maker was written at a time when astrological charts were calculated by hand using, what at the time, was simple mathematics. Today computers are faster and more accurate than performing the tedious hand-calculations. However, for anyone seeking a thorough understanding of aspects and the finer nuances of chart interpretation, it can be very helpful to understand the math and Beginning Horoscope Maker is helpful in this regard. Part Two, the Reader is a simplified system for interpreting a chart. Its brief interpretations are helpful for gaining insight into a birth chart and for learning how to synthesize the various components of a chart. Interpreting the symbols on a chart is a daunting task for the beginning student. The Reader helps bridge the chasm between the beginner and the proficient. In 1972 the two volumes were combined into one book, Beginner's Horoscope Maker & Reader. The 1972 version is here presented in its entirety. Many of the books, to which reference is made, are no longer in print. Many of the reference books such as ephemerides, can be found online. For example, at the time of this writing Astrodienst.com is a very good source. Other books, such as Tables of Houses can be ordered from the www.light.org bookstore or from other sources. Part Three, Astrological Tables and Diagrams, contains all of the tables, diagrams and ephemerides you will need to study the material in this book. Extra tables have been added to make the mathematical calculations easier. A list of Abbreviations used in this work is also included there.

The Church of Light January 2011

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Elbert Benjamine (C.C. Zain) 1882-1951 Author of the 210 Brotherhood of Light Lessons in 23 Elbert Benjamine was one of the most prolific astrological writers of the 20th century. He wrote more than fifty books and thousands of magazine articles. A scholar who mastered every physical science of his time, Benjamine brought this same vigor to his exploration of the metaphysical sciences. He was born a natural psychic and seer. As a youngster his heightened awareness brought him into contact with those who had passed from this plane to the next. In the autumn of 1898, he began his esoteric studies. By 1900 he had contacted The Brotherhood of Light and began serious study of astrology. In the spring of 1910 he gave his promise to write the 21 Brotherhood of Light courses covering astrology, alchemy and magic, under the penname of C. C. Zain. From that time until his death in 1951, he devoted his life's energy and personal resources to writing the lessons, and to establishing The Church of Light as a vehicle for disseminating The Brotherhood of Light teachings. The scope of his work is perhaps little understood at the present. However, as the Aquarian Age unfolds in a physics-oriented, scientific world, his genius will become more widely comprehended.

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Table of ContentsBeginning Horoscope Maker1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Beginning Horoscope Maker . . . . . . . . . . . . . . . . . 1 Local Mean Time is the Dominant Factor . . . . . . . . . 3 Placing the Signs on the Houses . . . . . . . . . . . . . 11 Placing the Planets in the Chart. . . . . . . . . . . . . . 27Beginning Horoscope Reader63 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Unifying the Horoscope . . . . . . . . . . . . . . . . . 45

Beginning Horoscope Reader. . . . . . . . . . . . . . . . . 63 We Make an Easy Start . . . . . . . . . . . . . . . . . 65 We Consider Each Planet in Each Sign . . . . . . . . . . 81 We Consider Aspects between Each Two Planets . . . . . 99 We Consider Each Planet in Each House . . . . . . . . 113Astrological Tables & Diagrams147 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Delineating the Horoscope . . . . . . . . . . . . . . . 131

Astrological Tables & DiagramsForeword 2011 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Miscellaneous Tables and Symbols . . . . . . . . . . . . . . . 2 Example Chart A . . . . . . . . . . . . . . . . . . . . . . 23 Example Chart B . . . . . . . . . . . . . . . . . . . . . . 24 Example Chart C . . . . . . . . . . . . . . . . . . . . . . 25 Example Chart D . . . . . . . . . . . . . . . . . . . . . . 26 How the Aspects Express . . . . . . . . . . . . . . . . . . 49 Man's Twofold Nature. . . . . . . . . . . . . . . . . . . . 64 Houses of the Horoscope . . . . . . . . . . . . . . . . . . 114 Map 1. Standard Time Zones of the United States . . . . . . 148 Map 2 Standard Time Zones of the World . . . . . . . . . . 150

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Mundane Houses . . . . . . . . . . . . . . . . . . . . . 151 Ephemeris: November 1930. . . . . . . . . . . . . . . . . 152 Ephemeris: April 1943 . . . . . . . . . . . . . . . . . . . 154 Table of Houses . . . . . . . . . . . . . . . . . . . . . . 156 Table of Proportional Logarithms . . . . . . . . . . . . . . 158 Conversion of Mean Solar to Sidereal Time . . . . . . . . . 160 Conversion of Longitude to Time . . . . . . . . . . . . . . 162 Aspect Finder . . . . . . . . . . . . . . . . . . . . . . . 163 Declination of Angles. . . . . . . . . . . . . . . . . . . . 164 Table of Mutual Reception . . . . . . . . . . . . . . . . . 165 Table of Essential Dignities . . . . . . . . . . . . . . . . . 166 Abbreviations Used in the Book . . . . . . . . . . . . . . . 167 Professional Chart Blank . . . . . . . . . . . . . . . . . . 168 Student Chart Blank . . . . . . . . . . . . . . . . . . . . 169

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Key to Brotherhood of Light Serial Lessons1THREE BRANCHES OF STUDYCOURSE TITLE COURSE NUMBER SERIAL LESSON NUMBER

ASTROLOGY Astrological Signatures Spiritual Astrology Horary Astrology Natal Astrology (2 books) Mundane Astrology Weather Predicting Stellar Healing II VII VIII X XIII XV XVI ALCHEMY Spiritual Alchemy Mental Alchemy Natural Alchemy (2 books) Occultism Applied Cosmic Alchemy Organic Alchemy Personal Alchemy III IX XII XIV XVII XIX XXI MAGIC Laws of Occultism Ancient Masonry Esoteric Psychology The Sacred Tarot Divination & Char. Reading Imponderable Forces The Next Life I IV V VI XI XVIII XX 39-45 6-18 56-67 22-33, 48 118-124 183-189 173-182 49-54 95-101 125-140 151-162 164-172 209-215 216-225 1-5, 20, 21, 46, 47 71-83 36, 86-92 19, 103-117 141-150 190-196 197-208

The Brotherhood of Light Lessons are offered only by The Church of Light, a nonprofit organization, created for the purpose of disseminating The Religion of the Stars

1

The Brotherhood o f Light Lessons were originally published as individual serial lessons and later incorporated into book format.

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Part One

Beginning Horoscope MakerOriginal Copyright, 1943 Maker & Reader Copyright 1972 Elbert Benjamine a.k.a. C. C. Zain

Copyright 2011, The Church of Light

Miscellaneous Tables and Symbols

Chapter One

Local Mean Time is the Dominant FactorThe position of an object or an event cannot be completely defined by three dimensions. When we say that a certain individual was on the street level at the intersection of Seventh and Broadway in Los Angeles, full information is not yet at hand. It was Einstein who first emphasized the importance of time as the fourth dimension. And the relation of velocity to time is a significant factor in explaining the release of planetary energies by progressed aspects which time and indicate the probable nature of the events that will enter a given person's life. But even in such a simple matter as locating an individual in Los Angeles, in addition to the three dimensionsstreet level, Seventh Street, and Broadwaythe fourth dimension, time must be added. It must be stated he was there on a given day of a given year at a specified time of day. In like manner, to locate a birth, while the surface of the earth gives one dimension, we must ascertain the latitude of birththe distance north or south of the earth's equator and the longitude of birththe distance east or west of Greenwich. When the town or city in which, or near which, birth took place is known, the latitude and longitude of birth may be ascertained from a map or atlas. They are expressed in s and 's. Latitude and longitude of birth on the surface of the earth, however, do not completely locate the birth. To these data, which are essential to the erection of a birth chart, must be added the year, month, day of month and time of day when the birth took place. Unfortunately for simplicity, the kind of time used in a given locality at different periods has been made a football of politicians. At various periods they have installed different systems of recording time. Yet as a correct chart cannot be erected unless the time used at the place of birth is known, this matter of ascertaining what kind of time was used on a given date, while often quite complicated, is of the utmost importance. And before any attempt is made to erect a chart of birth, positive information should be gained not merely as to the time of day the birth took place, but as to the kind of time used in recording it. The Dominant Factor As the astronomical data given in the ephemeris is calculated for Mean Time, unless the time of birth is given in terms of local mean time it becomes necessary to convert the recorded time into local mean time. Because it is necessary first to find Local Mean Time before any of the other calculations can be made, it is called the DOMINANT FACTOR.

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The first step in calculating any horoscope, therefore, is to ascertain this DOMINANT FACTOR, or Local Mean Time. And this necessitates a consideration of the various systems of recording time that have been employed, and how to convert the time thus recorded into local mean time. In some countries, notably Russia, the Julian Calendar' was used up to the time of the Revolution in 1917. But there were exceptions, as some places on the Black Sea used the calendar of their neighbors. When, however, the date is given Old Style, as it was reckoned in Russia, it must be converted into the Gregorian Calendar, or New Style, because the ephemeris is calculated New Style. This is done by adding 12 days to Old Style dates occurring in the 19th Century, and by adding 13 days to Old Style dates since 1900. Thus Josef Stalin's birth, according to his mother, occurred December 21, 1879, Old Style. Adding 12 days to this date brings us to January 2, 1880, as the date for which his birth chart should be erected. Before November 18, 1883, at Noon, in the United States, and before 1880 in Great Britain, it was customary to use local mean time. Therefore the times of such births usually need no conversion, for as recorded they represent the DOMINANT FACTOR. Such use of local mean time required that every place having a different longitude should have a different time. This not only was a nuisance, but as railways stretched across the continent it became too impractical to tolerate. The clocks in different longitudes might either keep identical time, or show differences easily adjusted, Standard Time was adopted in the United States and in most countries of the world. As shown by Map 1 (page 148), the United States is divided into six Standard Time Zones each containing 15 longitude. The standard meridian for Eastern Time is 75, or 5 hours, west; the standard meridian for Central Time is 90, or 6 hours west; the standard meridian for Mountain Time is 105, or 7 hours west; and the standard meridian for Pacific Time is 120, or 8 hours, west. Puerto Rico has a further zone, called Atlantic Time, which is but 4 hours west. Hawaii and Alaska use 150 W. Standard Time is a logical necessity in this day of swift travel and instantaneous long-distance communication. Nor is there anything complicated about it. The complication arose when Daylight Saving Time was adopted in many countries during World War I. It was in general use in the U.S. during 1918 and 1919, and continued in use in some sections of the country up to the date of World War II. And while Daylight Saving Time was made legal in these communities, it so complicated railroad schedules that the railroads, to conform to the time used in other localities on their route, used Standard Time. Thus for years there were towns in the eastern U.S. that were using two kinds of time. During World War II, starting May 3, 1941, and lasting to August 9, England each year used Double Summer Time, the clock two hours ahead of Standard Time in summer, and having it one hour ahead during the balance of the year. In the United States War Time commenced

STRENGTH AND ASPECTS OF THE PLANETS

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February 9, 1942, 2:00 a.m. and ended September 30, 1945. The clock was set one hour ahead of Standard Time, not merely during summer, but for the whole year. Daylight Saving Time in 1918 was in use in the U.S. from March 31 to October 27, and in 1919 from March 30 to October 26, but where continued the change date varied. When the birth is timed according to the Double Summer Time of England, it becomes necessary to subtract two hours from the clock to get the Standard Time. When the birth is timed according to Daylight Saving Time, or War Time, such as was used in the U.S., it becomes necessary to subtract one hour from the clock to get the Standard Time. In the years between World War I and World War II careful inquiry should be made to be sure which time was used in the record. When the time of birth is recorded in Standard Time, or is converted from Daylight Saving or War Time into Standard Time by subtracting one hour, we must next know what Standard Time Zone was used. Theoretically, all places 7 east and 7 west of a standard meridian should keep the same time. As a matter of fact, railroad divisions and natural boundaries greatly influence the actual place where time changes are made. Furthermore, the dividing line where such changes of time take place has not remained constant, but has shifted along with railroad changes and the development of certain regions. Map 1 (page 148) gives the zones and places of time change. But if a birth is near these places of time change, much pains should be exercised to learn just what time was used in recording the birth. All of us are aware, through listening to radio broadcasts, that time is later in England than in the United States; and those west of the Eastern Time Zone are aware that time in New York or Washington is later than it is in the other U.S. Time Zones. For instance, we on the Pacific Coast must turn on our radios at 9:00 a.m. to listen to a presidential speech given from the White House in Washington at noon. From everyday experiences we become aware that there is a close relationship between longitude and time. One complete revolution of the earth on its axis, which is the time between two successive transits of the sun's semi-diameter across the same meridian, measures 24 hours. In the complete revolution the 360 of geographical longitude measuring the earth's circumference pass under the sun at meridian. Dividing 360 by 24 gives 15 that pass under the sun at meridian every hour. Dividing this hour of 60 minutes by 15 gives 4 minutes as the time required for 1 longitude to pass under the sun at meridian. For reckoning distance on any circle a starting point must be selected. This is true not only relative to the circle along which geographical longitude is measured, but also of the circle along which is measured time. And to use as such a Prime Meridian from which to compute geographical longitude, and to use as a standardized time reference in locating the position of the heavenly bodies, the longitude of Greenwich, England, is considered as 0 and 0 hours, and the universally accepted starting point. Any adequate map indicates how many degrees and

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minutes each important geographical area is east or west of Greenwich. And the international date line (see Map 2, page 150) is 12 hours, or 180, from Greenwich. As distance east or west of Greenwich may be expressed either in degrees or in hours and minutes of time, the prevalent manner of locating the standard time meridians has been to divide the world into 24 such standard time zones, each successive meridian being just 15 of geographical longitude, and therefore representing just 1 hour difference in time, from the next meridian. How the world, and how the U.S., are thus divided is shown in Maps 1 and 2. On each of these standard meridians, the standard time and the local mean time are identical. But as clocks at all points approximately 7 both east and west of such a standard meridian keep the local mean time of this standard meridian, since standard time came into use if the place is either east or west of the standard meridian, the clock time must be converted into local mean time (LMT). Clocks west of a standard meridian are FAST. Clocks east of a standard meridian are SLOW. And as 1 longitude is the equivalent of 4 minutes time, the number of east or west of the standard meridian may be converted into time merely by multiplying by 4 and calling the result minutes of time. If the place is East of the standard meridian, ADD the number of minutes thus found to the standard time. If the place is West of the standard meridian, SUBTRACT the number of minutes thus found from the standard time. The result is the Local Mean Time of Birth, and this is the DOMINANT FACTOR. The Method of Presenting Examples Employed Where this seems advisable for the sake of greater clearness, other examples of the problems involved in erecting a chart will also be given; but to show in their proper sequence how to employ the principles explained, four complete charts, representative of each condition commonly encountered in actual astrological practice, will be erected, a step at a time. The problems relating to these four example charts will be interspersed with other examples, but the problems relating to each of these complete example charts, wherever they occur, will be preceded by the same capital letter by which the chart is designated, and thus no difficulty will be encountered in following the steps in its erection from start to finish. The data of the four birth charts thus erected, and the letters by which their problems are designated, are as follows: (A) November 14, 1930, 10:44 a.m. Central Europe Standard Time (CET), Rome, Italy, Longitude 12E29, Latitude 41N54. (B) November 22, 1930, 2:00 a.m. Pacific Standard Time (PST), Thrail, Calif., Longitude 122W29, Latitude 41N54.

LOCAL MEAN TIME IS THE DOMINANT FACTOR

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(C) April 2, 1943, 2:10 p.m. Central Standard Time (CST), Elmhurst, Ill., Longitude 87W56, Latitude 41N54 (3:10 p.m. Central War Time). (D) April 20, 1943, 11:30 p.m. Eastern Standard Time (EST), Taunton, Mass., Longitude 71W05, Latitude 41N54 (12:30 p.m. Eastern War Time). Examples of Finding the LMT of Birth Instead of multiplying the difference in longitude between the birthplace and the standard meridian by 4, consult the Table of Conversion of Longitude to Time in Part Three (page 162). This Table performs the multiplication for you. (A) The longitude of Rome is 12 E 29'. The Central Europe Standard Meridian is 15 E. The difference is 2 31', for which the Conversion Table gives 10' and 04". As Rome is west of the standard meridian, the 10' and 4" must be subtracted from the standard time of birth. A birth at 10:44 a.m. CET, Rome, gives 10:33:56 a.m. as the local mean time of birth. (B) The longitude of Thrail, California, is 122 W 29'. The Pacific Standard Meridian is 120 W. The difference is 2 29', for which the Conversion Table gives 9' and 56". As Thrail is west of the standard meridian, 9' and 56" must be subtracted from the standard time of birth. The birth at 2:00 a.m. PST gives 1:50:04 a.m. as the local mean time of birth. (C) The longitude of Elmhurst, Illinois, is 87 W 56'. The Central Standard Meridian is 90 W. The difference is 2 4', for which the Conversion Table gives 8' and 16". As Elmhurst is east of the standard meridian, 8' and 16" must be added to the standard time of birth. As the birth was 2:10 p.m. CST, the local mean time of birth was 2:18:16 p.m. (D) The longitude of Taunton, Massachusetts, is 71W 05'. The Eastern Standard Meridian is 75 W. The difference is 3 55', for which the Conversion Table gives 15' and 40" As Taunton is east of the standard meridian, 15' and 40" must be added to standard time of birth. The birth at 11:30 p.m. EST gives 11:45:40 p.m. as the local mean time of birth The longitude of Berlin, Germany, is 13 E 23'. The Central Europe Standard Meridian is 15 E. Here the difference is 1 37', for which the Conversion Table gives 6' and 28". As Berlin is west of the standard meridian, 6' and 28" must be subtracted from the standard time of birth. That is, if a birth was 9:10 a.m. CET, the local mean time was 9:03:32 a.m The longitude of Tokyo, Japan, is 139 E 45'. The Japanese Standard Meridian is 135 E. The difference is 4 45', for which the Conversion Table gives 19'. As Tokyo is east of the standard meridian, 19' must be added to the standard time of birth. Thus if a birth occurred at 1:15 pm. JST, the local mean time of birth, or Dominant Factor, was 1:34:00 p.m. The longitude of New York is 73 W 57'. The Eastern Standard Meridian is 75W. The difference is 1 03' for which the Conversion Table gives 4' and 12". As New York is east of the

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Standard Meridian, 4' and 12" must be added to the standard time of birth. If a birth took place at 2:00 a.m. EST, it took place at 2:04:12 a.m. local mean time. The longitude of Washington, D.C., is 77 W. 01'. The Eastern Standard Meridian is 75 W. The difference is 2 01', for which the Conversion Table gives 8' and 4". As Washington is west of the standard meridian, 8' and 4" must be subtracted from the standard time of birth. An event that took place in Washington at exactly noon EST would have a local mean time of 11:51:56 a.m. The longitude of Los Angeles is 118 W 15'. The Pacific Standard Meridian is 120 W. The difference is 1 45', for which the Conversion Table gives 7'. As Los Angeles is east of the standard meridian, 7' must be added to the standard time of birth to get the local mean time. A birth that took place at 11:45 p.m. PST, took place at 11:52.00 p.m. local mean time. Tables Needed for Erecting a Horoscope To erect a chart of birth, or any horoscope, in addition to the data supplied to the astrologer, only two things are required. One is a Table of Houses for the latitude of the place, and the other is an ephemeris for the year of birth. EPHEMERIDES: To ascertain the position of the planets, an ephemeris for the year of birth is required. An ephemeris, unlike a Table of Houses, if for one year, will not do for some other year. The most economical method is to purchase the Astrologers Ephemerides (A-P Ephemerides), which may be had in convenient volumes each containing all the positions each day for ten years. These cover the years 1880 to 1950. There is also a thirty-year volume, covering years 1850 to 1880. The A-P volumes, which end with the year 1949, are the American Edition of Die Deutsche Ephemeride, which are still available for the years 1950 through 1970.1 The ephemerides used in astrology are calculated from the government ephemeridesof which the American Ephemeris and Nautical Almanac is the one published by the Nautical Almanac Office, U.S. Naval Observatory, and sold by the Superintendent of Documents, Washington, D.C. While the true declinations of the planets and the true longitude of the sun and moon are given, the longitude positions of the planets are not given. Instead, which is more convenient for navigation, the positions of the planets are given in hours, minutes and seconds of Right Ascension. The astrological ephemeris makers convert this, by means of tables made for that purpose, into Celestial longitude, which is expressed as signs, degrees and minutes. Now before the volume of 1925, the planetary and other positions given in the government ephemeris were for noon. But changing observatory practice and other practical considerations1

Free ephemeris may be found at www.astrodienst.com.

LOCAL MEAN TIME IS THE DOMINANT FACTOR

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caused the astronomers to change this long established custom in favor of the civil day which begins at midnight, twelve hours before mean noon of the same day. Thus Greenwich Civil Time, which because of its present universal use by astronomers is now called Universal Time, is twelve hours before Greenwich Mean Noon of the same date. Beginning with the year 1925, the government ephemerides count the day as from midnight, as is the custom in our ordinary walks of life, instead of from noon to noon as previously had been done; and the positions of the planets since 1925 have been given in the government ephemerides for zero hour (midnight). Every additional computation makes the necessity of checking against slight error more imperative. And because this avoids the necessity of making a computation for the intervening 12 hour interval when converting the Right Ascension of the planets as given in the government ephemeris into zodiacal longitude, and because to give precision in computing the places after such a 12 hour interval the troublesome factor of Acceleration must be includedwhich is usually neglected by the makers of ephemerides for astrological purposescommencing with the year 1931, the makers of the A-P Ephemerides and Die Deutsche Ephemeride have followed the example of the astronomers and given the various positions at Greenwich Zero Hour (midnight), which is Universal Time. In using these highly precise A-P Ephemerides therefore, it must be remembered that preceding and including the year 1930, the positions are given for Greenwich Noon; but that since that year they are given for Greenwich Zero Hour. In the example charts which follow, two charts are erected from the A-P noon ephemeris; the two pages of which for November, 1930, are reproduced in Part Three, ASTROLOGICAL TABLES. Furthermore two charts are erected from the A-P Zero hour ephemeris. The two pages of which for April 1943, are also reproduced in Part Three, ASTROLOGICAL TABLES. TABLES OF HOUSES: A table of houses is perpetual and good for all years, but the table must cover approximately the geographical latitude of birth. Near the equator, differences are small, and therefore a table which is 1 removed from the latitude of birth is close enough, which means that if tables cover every 2 that is sufficient. But as higher latitudes are reached the differences are greater, and the table should cover every degree of latitude. Until the A-P Tables of Houses were published, the available tables covered only certain latitudes in one book, and other latitudes in other books. To get all latitudes for which such tables are of practical use thus required the purchase of several volumes. For reasons that involve the peculiar performance of planets in reference to rising and setting as the land of the midnight sun is approached, charts in latitudes above 67 present special problems, and cannot conveniently be handled in the ordinary way by recourse of a table of houses. But the A-P Tables of Houses, in addition to being economical, contain tables suitable for use in all latitudes in which such tables can be made of value. They run from the equator to 66 North Latitude; and contain instructions for easily using them to erect charts in South Latitudes. In Part Three

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of this book will be found reproduced from the A-P Table of Houses the two pages covering latitude 41 54' north, at which latitude the births took place for which the four example charts of this book are erected. TABLE OF PROPORTIONAL LOGARITHMS: Either for erecting a chart of birth or for calculating progressed aspects the only mathematical ability necessary is that required in adding, subtracting, multiplying and dividing. The multiplying and dividing is employed in solving simple problems in proportion by the RULE OF THREE such as is taught in grammar school. In a proportion the two end numbers are called the extremes and the two intermediate numbers are called the means. The Rule of Three is: If three known numbers are related proportionally, the product of the two of the same kind divided by the third gives the fourth member of the proportion. Therefore, if the extremes are known, divide their product by the known mean, and the quotient is the desired unknown term. And if the means are known, divide their product by the known extreme, and the quotient is the desired mean. Thus on a day when the Sun moves (a) 59' in the zodiac, suppose we wish to know how many minutes (b) it will move in (d) 7 hours, 25 minutes. 24 x 60 minutes (one hour) gives (c) 1440 minutes in one day. 7 x 60 minutes, plus 25 minutes, gives (d) 445 minutes. The proportion then is: 59: ? :: 1440 : x 445. 59 x 445 gives 26255. 26255 divided by 1440 gives 18' as the distance the Sun travels. Now mathematicians have devised a table of proportional logarithms based on always considering 1440 minutes (one day) as the (c) term of the proportion. With this table problems in proportion involving 24 hours as one term can be solved merely by addition or subtraction. To find the distance a planet travels during a given interval (b) the logarithm of the (d) interval is merely added to the logarithm of the (a) daily motion of the planet. Such use of logarithms lessens the work and makes for precision. Turn to the table of logarithms given in Part Three of this book and observe how the problem above worked by proportion more quickly is handled by logarithms thus: Log. (a) Log. (d) Log. (b) 1.3875 .5100 1.8975 0 59' 7h 25m 0 18' daily motion of Sun add interval distance Sun travels

f

Chapter Two

Placing the Signs on the HousesThe zenith of an observer, the point directly overhead, traces a circle in the sky due to the eastward rotation of the earth. For convenience, and to avoid technicalities, let us call this circle, parallel to the circle along which right ascension is measured, the mundane circle. And it is important, for from it are located the houses of a horoscope, the Mundane Houses. But there is also a second important circle, the circle in the sky apparently followed by the sun in its annual journey, which marks the center of a narrow belt along which all the planets apparently travel. This belt is called the zodiac, and the circle followed by the sun is called the ecliptic. The positions of the planets as recorded in an ephemeris are given as they appear along this annual path of the sun. Thus all the planets have two important apparent motions. They have a clockwise apparent motion that carries each from the Ascendant to the Midheaven, to the Descendant, to the I.C. and back to the Ascendant again each day. The sun thus is seen to rise in the morning, to reach the Midheaven at noon, to disappear below the Descendant in the evening, and to appear again on the Ascendant on the morning on the next day. All of the planets perform a similar daily journey. And, in which house of the horoscope each planet has thus arrived in this clockwise daily journey is very important; for it indicates both the volume of energy the planet is able to deliver, and the department of life it influences. But all the planets also have a slower counter-clockwise motion through the zodiac. While being swiftly carried clockwise by the diurnal rotation of the earth, they are slowly moving counter-clockwise along the zodiacal circle. Their position on this circle is plotted in the ephemeris for each day. In erecting a horoscope, therefore, we have calculations to make relative to two different circles; the circle of mundane houses, and the circle of the zodiac. Now both the mundane circle and the zodiacal circle are divided into segments of 30 degrees each. As a circle has 360 degrees there are thus 12 segments on each of the two circles. Each such 30-degree segment of the mundane circle is called a House, and each 30-degree segment of the zodiac is called a Sign. The positions of the planets as given in an ephemeris show them to have a longitude of so many degrees and minutes in a certain sign. That is, their positions are plotted in the ephemeris along the circle which is the apparent annual path of the sun. But that does not indicate

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whether they are above the horizon, below the horizon, half way up to the midheaven in an easterly direction, or how else they may be located relative to the observer on earth. To ascertain this, the position of the zodiacal circle in reference to the mundane circle must be calculated. In astrology the position of a planet relative to each of these circles is important. The tone quality of each planet is influenced by the sign of the zodiac it is in, that is, in which of the 30 degree segments along the apparent annual path of the sun it is found. Also the harmony or discord mapped by a given planet, and therefore the fortune-attracting or misfortune-attracting desires of the thought cells within the human soul that it maps, is revealed by the aspects it receives from other planets; and these are determined, with the exception of the parallel aspect, from the number of degrees this planet is removed from other planets along this zodiacal circle which is the apparent annual path of the sun. Also, each aspect a planet receives increases its prominence, which means that it indicates the thought cells within the soul which it maps have that much more energy with which to work. Chapter One of Beginners Horoscope Reader sets forth the significance of the Sun in each of the twelve zodiacal signs, and Chapter Two of that Part sets forth the significance of the Ascendant, the Moon, and each of the eight planets in each of the twelve zodiacal signs. And as pointed out in Chapter Three of that Part, where the significance of the aspects between each two planets is given, only an ephemeris for the year of birth is required to ascertain all the aspects between the planets, with the possible exception of aspects involving the Moon. For the day of birth the sign and degree they occupy are given in such an ephemeris, and with the possible exception of the Moon, these positions along the circle representing the apparent path of the sun, which is called the zodiac, are all that is needed to ascertain all the aspects between the planets. But while the tone quality of the influence of a planet, and its harmony and discord, can thus be ascertained from its position in the zodiacal circle, the department of life chiefly influenced by the thought cells it maps, and the volume of energy possessed by these thought cells, can only be ascertained when its position relative to the mundane circle is known. As pointed out in Chapter Four of Beginners Horoscope Reader, where the significance of each planet in each house is given, it is the position of the planet relative to the circle from which are mapped the Mundane Houses that reveals for events and conditions affecting what department of life the thought cells mapped by a planet will work. If you will step outdoors and face the south from time to time and watch the sun, moon, planets and stars, the relation of the two circles, both of which must be used to plot astrological positions, will become clear. To us in northern latitudes the circle of the zodiac, which the sun follows, and from which the moon and planets never stray more than a few degrees, is always to the south. You will note that the sun, moon and planets rise in an easterly direction, arch up to the highest point while somewhat south of the zenith, and then set in a westerly direction. This clockwise apparent motion of stars and planets is due to the earth turning eastward on its axis.

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13

The eastern horizon of the earth is called the Ascendant, abbreviated Asc.; the western horizon is called the Descendant; the meridian of the observer, that is, a circle passing through the poles of the earth and the zenith, is the Midheaven, abbreviated M.C.; and the point opposite the Midheaven is the I.C. A circle passing directly eastward from the zenith cuts the Ascendant, the I.C., the Descendant and again reaches the Midheaven at the zenith point. From this circle are mapped the Mundane Houses. This mundane circle is divided into four quadrants by the Ascendant, I.C., Descendant and Midheaven. And while in all geographical latitudes a heavenly body in its apparent daily circle about the earth reaches the midheaven at the same moment, and reaches the nadir at the same moment, the times when it appears above the Ascendant, and disappears below the Descendant are greatly influenced by the latitude of the observer. In other words, whether a planet is above or below the Ascendant or Descendant at the time of birth may well be determined by the latitude on the earth where the birth took place. See diagram of Mundane Houses, Part Three (page 151). Not only is it important to know whether or not, and how far, a planet is above or below the Ascendant or Descendant, but whether or not, and how far, it is within or without one of the three equal divisions of each of the mentioned quadrants. Each of the equal divisions thus ascertained from the circle about the earth at a given geographical latitude is called a Mundane House. Now the zodiacal circle is inclined to the earths equator at an angle of about 23. But its inclination to the circle passing directly eastward through the zenith, from which the houses are ascertained, varies with each degree of geographical latitude. And thus to ascertain the exact degree of the zodiac on each of the cusps, or partitions, which divide the mundane circle into 12 equal segments, or houses, recourse is had to a table of houses. Ephemeris Sidereal Time To measure along a circle a starting point is necessary. The starting point for measuring geographical longitude is Greenwich, England. The starting point for measuring along the mundane circle is the Midheaven. The starting point for measuring along the circle of the zodiac is that point in the sky, called the vernal equinox, where the sun crosses from south to north declination and thus changes polarity each spring. Now the time that has elapsed since the point of the vernal equinox, where the zodiacal circle commences, was on the Midheaven, which marks the starting point of what is here called the mundane circle, is the sidereal time. The sidereal time, therefore, shows exactly what sign and degree of the zodiac are on the Midheaven. It thus brings the two circlesthe zodiacal circle and what we here call the mundane circleinto coincidence at one point.

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The ephemeris shows the sidereal time either for noon or midnight. That is, it indicates what sign and degree of the zodiac are on the Midheaven at noon or midnight, as the case may be. Each hour and minute of clock time after noon or midnight increases the sidereal time by that interval; and each hour and minute before noon or midnight decreases the sidereal time by an equivalent interval. Therefore, to find the sidereal time of birth, we must find the local mean time interval to or from noon or midnight, according to which is used in the ephemeris, and add or subtract this interval to or from the sidereal time given in the ephemeris. Finding the Sidereal Time of Birth is the First Key Problem First we must find the local mean time interval from noon or zero hour the birth took place. If the local mean time of birth (DOMINANT FACTOR) is p.m., it already represents the required plus INTERVAL if a noon ephemeris is used. If a zero hour (midnight) ephemeris is used, it must be added to 12 hours to get the required plus interval. For the sake of greater precision in using the zero hour ephemeris it is better to subtract p.m. LMT from 12 hours and use the result as a minus LMT interval on the next day. If the local mean time of birth (DOMINANT FACTOR) is a.m. and a noon ephemeris is used, it must be subtracted from 12 hours to get the required minus interval. If a zero hour (midnight) ephemeris is used, it already represents the required plus LMT Interval. (A) Using the noon ephemeris, to get the LMT Interval for a birth that took place 10:33:56 a.m. LMT, merely subtract 10h 33m 56s from noon. This gives minus 1h 26m 04s as the required LMT Interval. (B) Using the noon ephemeris, to get the LMT Interval for a birth that took place 1:05:04 a.m. LMT, we merely subtract lh 50m 04s from noon. This gives minus 10h 09m 56s as required LMT Interval. (C) When using the zero hour ephemeris to calculate p.m. charts, it is necessary to add 12 hours to the given time, keeping in mind the 24-hour day. A birth that took place at 2:18:16 p.m. LMT would give a 14h 18m 16s LMTI, as a result of adding 12 hours. A.M. births do not require the 12-hour addition. The given LMT is merely considered as a plus LMTI. (D) Using the zero hour ephemeris, to get the LMTI for a birth that took place 11:45:40 p.m. LMT, we merely add 12 hours to arrive at a plus 23h 45m 40s LMTI. The next step in the First Key Problem concerns the Sidereal Time. The Sidereal Time at noon or zero hour for each day at Greenwich is given in the ephemeris for the year in which the birth date occurs. As most births do not occur at noon or zero hour Greenwich, a correction is required. When the LMT Interval is minus, it is subtracted from the Sidereal Time of Birth given in the ephemeris. This results in the Sidereal Time of Birth Uncorrected.

PLACING THE SIGNS ON THE HOUSES

15

To find the Sidereal Time at noon or zero hour for the four example charts, consult the ephemerides in Part Three: (A) 15h 31m 27s S.T. noon, Nov. 14, 1930 1h 26m 04s subtract LMTI 14h 05m 23s S.T. of birth (uncorrected) (B ) 16h 03m 00s S.T. noon, Nov. 22, 1930 10h 09m 56s subtract LMTI 5h 53m 04s S.T. of birth (uncorrected) (C) 12h 37m 52s S.T. zero hour, Apr. 2, 1943 14h 18m 16s add LMTI 26h 56m 08s -24h 00m 00s subtract 2h 56m 08s S.T. of birth (uncorrected) (D) 13h 48m 50s S.T. zero hour, Apr. 20, 1943 23h 45m 40s add LMTI 37h 34m 30s 24h 00m 00s subtract 13h 34m 30s S.T. of birth (uncorrected) In order to find the True Sidereal Time of birth, another correction is needed in this First Key Problem. Sidereal time increases at the rate of 9.86 seconds per hour. As the sidereal time in the ephemeris is for noon or zero hour, Greenwich, this correction must be made for the interval before or after noon or midnight Greenwich on the same day. This requires that the Equivalent Greenwich Mean Time Interval (EGMTI) first be found. Before finishing the First Key Problem, it becomes necessary to calculate the Second Key Problem in order to apply the 9.86s correction for sidereal time. Finding the Equivalent Greenwich Mean Time Interval (EGMTI) is the Second Key Problem As explained in Chapter One, each degree of geographical longitude is the equivalent of 4 minutes time. Therefore the number of degrees of geographical longitude a place is east or west of Greenwich can be converted into minutes of time merely by multiplying by 4. If the place is west of Greenwich, this difference in time must be added to the Local Mean Time (DOMINANT FACTOR) to get the EGMT. If the place is east of Greenwich, this difference in time must be subtracted from the Local Mean Time (DOMINANT FACTOR) to get the EGMT.

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The Equivalent Greenwich Mean Time thus found is then a given number of hours and minutes after or before the noon or zero hour for which the ephemeris is computed. If the EGMT of birth is p.m., it already represents the required plus EGMTI if a noon ephemeris is used. If a zero hour (midnight) ephemeris is used, it must be added to 12 hours to get the required plus EGMTI. For the sake of greater precision in using the zero hour ephemeris it is better to subtract the p.m. EGMT from 12 hours and use the result as a minus EGMTI on the next day. If the Equivalent Greenwich Mean Time of birth is a.m., and a noon ephemeris is used, it must be subtracted from 12 hours to get the required minus EGMTI. If a zero hour (midnight) ephemeris is used, it already represents the required plus EGMT Interval. To apply these rules, lets find the EGMT of the four example charts. To find the difference between the birthplace and Greenwich consult the Table of Conversion of Longitude to Time in Part Three (page 162). Example: What is the time difference between Washington, D.C., and Greenwich? Washington is 77 W 01'. In Table, in degree column, find 77. The time shown is 5h 8m. In minute column find 1m (of longitude). This corresponds to 4s of time. 5h 08m 00s add 0h 00m 04s 5h 08h 04s 77 long. 01' long. Washington is W. of Greenwich

Using this method, the following examples show how to find the EGMTI of the four example charts. (A) l0h 33m 56s a.m LMT of birth 49m 56s subtract for 12 E 29 long. 9h 44m 00s a.m. EGMT 11 h 60m 00s 9h 44m 00s 2h 16m 00s (B) lh 50m 04s a.m. 8h 09m 56s 10h 00m 00s 12h 00m 00s 10h 00m 00s 2h 00m 00s Noon Greenwich subtract EGMT Minus EGMTI LMT of birth add for 122W29 long. EGMT Noon Greenwich subtract EGMT Minus EGMTI

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(C)

14h l8m 16s 5h 51m 44s 20h 10m 00s

LMT of birth (12h added) add for 87W56 long. EGMT and EGMTI due to zero hour ephemeris LMT of birth (12h added) add for 71W05 long. EGMT and EGMTI due to zero hour ephemeris

(D) 23h 45m 40s 4h 44m 20s 28h 30m 00s

The results in these four examples represent an interval of time difference between the clock at the birth place and the clock at Greenwich. This actual time span is used to calculate the Limiting Date (L.D.) as well as the 9.86s correction in the First Key Problem. Your easiest guide to keeping these figures straight is a Student Chart Blank (page 169). The four example Charts beginning on page 23 have been calculated on these blanks. The Limiting Date appears on the last line of this blank. While the mathematics of progressing the horoscope rightfully belongs in more advanced work, the beginner will find it easy to calculate the L.D. as he learns to erect a chart. The Limiting Date is a constant enabling the calculation of time within the particular calendar year a major progressed aspect becomes perfect. The hours and minutes of the interval from birth time to Greenwich time are converted into months and days by dividing the hours by 2 and the minutes by 4. If this interval is minus, the hours and minutes so found are added to the birth day, month and year. If this interval is plus, the hours and minutes are subtracted from the birth date. (A) EGMTI is minus 2h 16m. 2h divided by 2 equals 1 month. 16m divided by 4 equals 4 days. Year 1930 1930 Month 11 1 12 Day 14 04 18 birth date add (Minus EGMTI) or Dec. 18, 1930 L.D.

Following this rule, calculate the L.D. of the other three example charts. Results: (B) December 22, 1930; (C) May 29, 1942; and (D) February 12, 1942. (Note that the L.D. on Charts (C) and (D) goes back into the previous year, due to the long plus interval.) This same time difference between the clock at the birth place and the clock at Greenwich, which we used to obtain the L.D., is also used to determine the 9.86s per hour correction in the First Key Problem. To find the True Sidereal Time of Birth, multiply this interval by 9.86s. If the interval is plus, add the correction to the Uncorrected Sidereal Time; if minus, subtract it. To save you the work of multiplying, refer to Part Three, Table of Mean Time to Sidereal Time, where this multiplication (by 9.86s) has been calculated for each minute up to 24 hours.

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Example: Chart (A) has an EGMTI of 2h 16m. Checking 2h 16m on this Table shows a correction of 22s. As the Interval is minus, we subtract the correction from the Uncorrected Sidereal Time. (A) 14h 05m 23s Uncorrected Sidereal Time 22s Minus 9.86s correction 14h 05m 01s True Sidereal Time of Birth (B ) 5h 53m 04s Uncorrected Sidereal Time 20s Minus 9.86s correction 5h 52m 44s True Sidereal Time of Birth (C) 2h 56m 08s Uncorrected Sidereal Time 3m 19s Plus 9.86s correction 2h 59m 27s True Sidereal Time of Birth (D) 13h 34m 30s Uncorrected Sidereal Time 4m 41s Plus 9.86s correction 13h 39m 11s True Sidereal Time of Birth REMINDER: The 9.86s correction is always based on the time interval from the birth clock to the Greenwich clock. For instance, in Chart (D) this interval is 28h 36m. Using the Table of Conversion of Mean to Sidereal Time, the problem is handled as follows: 23h 30m 5h 00m 28h 30m Table shows Table shows 3m 51.6s 0m 49.3s 3m 100.9s +1m60 4m 40.9s

EGMTI

or 4m 41 s correction

Finding the Precise Degree and Minute on the House Cusps Turn to the Tables of Houses in Part Three (page 156), and in the extreme left-hand column find the nearest sidereal time to that of birth. If the h, m and s exactly match the True Sidereal Time of Birth, merely copy the house cusps there given. As a rule, you will not find the exact h, m and s: Then a problem of interpolation is required. If the chart is being erected for South Latitude, see explanation at the end of this chapter. The following rule should be used in calculating charts for the Northern Hemisphere.

PLACING THE SIGNS ON THE HOUSES CALCULATION OF PRECISE HOUSE CUSPS

19

This is solved by proportion where A : B : : C : D or A/B = C/D. We recall from arithmetic that the product of the means (inner terms) equals the product of the extremes (outer terms). Therefore, B x C = A x D or (B x C)/A = D (correction to be made). A. Difference in minutes and seconds between the nearest and next nearest sidereal time to that of Birth in Tables of Houses. B. Difference in minutes and seconds between the True Sidereal Time of Birth and the nearest sidereal time to that of Birth in Tables of Houses. C. Difference between the house cusps corresponding to the nearest and next nearest sidereal time to that of Birth in Tables of Houses. D. Correction to be made. PROBLEM BY LOGS: To multiply by logarithms we add logarithms; and to divide, we subtract. Convert A, B and C to Logs. Log B minus Log A equals Basic Log (to be used on all cusp corrections) plus Log C equals Log D. Convert Log D into minutes and seconds of longitude. TO CORRECT: Add D to cusp given in Tables of Houses if nearest sidereal time is smaller than True Sidereal Time; if larger, subtract D. As all four example charts are for the exact latitude of 41 N 54', no further cusp correction is necessary. The calculation of house cusps of charts in other exact latitudes than those given in a Tables of Houses can be computed by applying the information at the end of this chapter. Before using the Tables of Houses in Part Three, you can speed your work by first becoming familiar with the information it contains and the format in which it is presented. Notice the Sidereal Time column that runs all the way from 0h 0m 0s at the top left corner down to 24h 0m 0s at the bottom right corner of the second page. There are twelve sections. Follow the sequence of hours from the first page to the next page until you comprehend it. The number of house cusps are noted across the top of each section of the Tables of Houses. 10 stands for the 10th house cusp (or Midheaven), and Ascen stands for the 1st house cusp or Ascendant. The other house cusps (11, 12, 2, and 3) are also there. The sign of the zodiac appears below the house-cusp number, and below that are degrees. Watch carefully for sign changes in the body of the Table. For instance, see the 11th cusp for S.T. 1h 25m 6s, where it changes to 0 Gemini 00'.

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Only the sign and degree on each of the cusps of the six eastern houses are given in a table of houses. The opposite house cusp is always occupied by the same degree of the opposite sign. A table of signs and their opposites is given on page 2. When, as often is the case, the same sign is found on more than one house cusp, certain signs are found missing after copying from the table of houses. These may be found by counting the signs in their regular order; and they should be placed in the map in the middle of those houses where they fall by their natural sequence in the zodiac. These are called intercepted signs. Correcting the house cusps for Chart (A) A. 14h 06m 59s nearest S.T. 14h 03m 08s subt. next nearest S.T. 3m 51s difference, Log .7947 B. 14h 06m 59s nearest S.T. 14h 05m 0l s subt. True S.T. of birth 1m 58s difference, Log 1.0865 C. 4 Scorpio 00' nearest M.C. 3 Scorpio 00' next nearest M.C. 1 PROBLEM: 00' difference, Log 1.3802 Log B. Log A. Log C. Log D. (lm 58s) 1.0865 (3m 51s) .7947 subtract .2918 Basic Log (l) 1.3802 add (31 m) 1.6720 correction

TO CORRECT: As the nearest S.T. is larger than the True S.T. of Birth, the correction (D.) is subtracted. 31' from 4 Scorpio 00' (or 3 60') gives the True Midheaven (10th cusp) for Chart (A) as 3 Scorpio 29'. In this particular case, an inspection of the Tables of Houses shows that cusps 11, 12, 2, and 3 are also 1 difference (C). Therefore, 31' is subtracted from each of these cusp positions given for the nearest S.T. to birth in the Tables of Houses. These corrected cusps are shown in Chart (A) in the next chapter.

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21

Ascendant correction for Chart (A): C. 8 Capricorn 24' nearest Asc. 7 Capricorn 27' subt. next nearest Asc. 0 ..57' difference, Log 1.4025

PROBLEM: .2918 1.4025 1.6943 Basic Log add correction, 29'

C. D.

TO CORRECT: As the nearest S.T. is larger than the True S.T. of Birth, the correction (D.) is subtracted. 29' from 8 Capricorn 24' (or 7 84') gives the True Ascendant for Chart (A) as 7 Capricorn 55'. Following this pattern, see if you can correct the cusps on the other three example charts, and then check the correct figures on the illustrations in the next chapter. The 41 N 54' Tables of Houses (page 156) exactly matched the Birth Latitude of all four example charts. However, a birth occurring at any other degree and minute of latitude would require another tables of houses. Furthermore, if the latitude of birth were not given in the tables of houses but fell in between two latitudes given there, an additional correction of house cusps would be necessary. This problem is calculated in the following manner after the zodiacal correction described above is finished. CORRECTION FOR PRECISE LATITUDE A. Difference between nearest and next nearest Latitude to that of birth in Tables of Houses. B. Difference between nearest Latitude in Tables of Houses and Birth Latitude. C. Difference between cusps corresponding to nearest and next nearest Latitude to that of Birth in Tables of Houses. D. Correction to be made. PROBLEMS BY LOGS: (Convert A, B and C to Logs.) B minus A equals Basic Log (to be used on all cusp corrections) plus C equals D. (Convert Log D into minutes and seconds of longitude.) TO CORRECT: Add D to house cusps determined in zodiacal correction above if the nearest Latitude is smaller than the True Latitude; if larger, subtract D.

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Tables of houses for north latitude may be used for places in south latitude by adding 12h to the S.T. and using the degree thus found, but placing opposite signs on the house cusps.

f

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23

Example Chart A

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Example Chart B

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25

Example Chart C

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Example Chart D

Chapter Three

Placing the Planets in the ChartWhen we place the signs properly on the houses after the method explained in Chapter Two we have finished all calculations relative to the clockwise apparent motion of the planets due to the rotation of the earth on its axis. But there still remains consideration of the much slower counterclockwise apparent motion of the planets through the zodiac. The sign, degree and minute of the zodiac occupied by each planet at Greenwich noon or Greenwich zero (twelve hours before noon) are given for each day of the year in the ephemeris. The distance the planet travels in a given 24 hours is thus the difference between the planets position on the two successive days embracing the given 24 hours. And from this, by simple proportion, can be ascertained the distance traveled during any given portion of the 24 hours, and therefore exactly where in the zodiac the planet is located at any hour and minute of time. Thus to ascertain just where the planets are located in the zodiac at any given hour and minute, however, requires that the time, not just anywhere, but at Greenwich be known; for the places of the planets in the ephemeris are calculated for Greenwich. The geographical longitude of Greenwich has been chosen as the Prime Meridian from which to calculate longitude on the earths surface, and Greenwich Mean Time has been selected as a standardized time reference in locating the positions of the heavenly bodies. Thus the places of the planets in the signs must be computed by using EQUIVALENT GREENWICH MEAN TIME. In using Equivalent Greenwich Mean Time (EGMT) it is not the time of day at Greenwich which is employed, but the INTERVAL from noon if the ephemeris is calculated for Greenwich noon, or the Interval from zero hour if the ephemeris is calculated for Greenwich zero hour. Thus the EGMTI becomes the key to the positions of the planets. The EGMTI of all four example charts was calculated in Chapter Two. Finding the Sign, Degree and Minute Occupied by Each Planet at Birth is the Final Problem This requires that the daily motion (a) of the planet between the two successive days within which the (d) EGMT Interval occurs should first be ascertained. From this by the proportion (a) : ? :: 1440 (minutes in a day) : (d) the distance the planet travels during the EGMTI is found. This distance, added to or subtracted from, the planets position in the ephemeris on the given day gives the sign, degree and minute occupied by the planet at birth.

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In actual practice, the distance the more slowly moving planets travel during the given day may be ascertained by inspection. As the EGMT Interval is approximately a certain fraction of the day, the planets travel during the EGMT Interval is approximately the same fraction of its daily travel. And in actual practice the proportion to find how far the faster moving planets move during the EGMT Interval is more readily handled, as explained in Chapter One, through the use of proportional logarithms. To Log. (a) add Log. (d). The sum is the Log. (b) of the planets travel during the EGMT Interval. Calculating All Planetary Positions in Chart (A) The EGMT Interval (d) has been found to be minus 2h 16m. The logarithm of 2h 16m (see Table Proportional Logarithms in Part III, page 158) is 1.0248. This is called the Constant Log. because it is one of the logarithms that will be used in finding the distance traveled by each planet for chart (A). Log. (a) Log. (d) Log. (b) 8S 21 24' 00 06' 8S 21 18' 6S 04 19' 5S 20 08' 14 11' Log. (a) Log. (d) Log. (b) 6S 4 19' 1 20' 6S 2 59' Log. (a) Log. (d) Log. (b) 8S 25 44' 0 09' 8S 25 35' Log. (a) Log. (d) Log. (b) 1.3802 1.0248 2.4050 0 60' 0 06' Sun moves Nov. 14, 1930 add Constant Log. Sun moves in 2h 16 m

Sun in ephemeris Nov. 14, 1930 subtract Suns travel EGMTI Sun is 21 Scorpio 18 at birth Moon in ephemeris Nov. 14 subtract Moon Nov. 13 (a) daily motion Moon .2284 1.0248 1.2532 14 11' daily motion Moon add Constant Log. 1 20' Moon moves in 2h 16 m

Moon in ephemeris Nov. 14 subtract Moons travel EGMTI Moon is 2 Virgo 59 at birth. 1.1852 1.0248 2.2100 1 34' 0 09' Mercury moves Nov. 14 add Constant Log. Mercury moves in 2h 16m

Mercury in ephemeris Nov. 14 subtract Mercurys travel EGMTI Mercury is 25 Scorpio 35 at birth 1.7112 1.0248 2.7360 0 28' 0 03' Venus moves Nov. 14 add Constant Log. Venus moves in 2h 16m

PLACING THE PLANETS IN THE CHART

29

9S 04 21' 00 03' 9S 04 24'

Venus in ephemeris Nov. 14 add as Venus is retrograde Venus is 4 Sagittarius 24R at birth.

2h 16m is approximately 1/12 of 24h. Therefore for the slower planets we need not use logarithms, but merely subtract 1/12 of the daily motion of each from its position in the ephemeris on November 14, 1930. From Nov. 13 to Nov. 14, 1930, Mars moves 21'. 1/12 of 21' is approximately 2'. 5S 10 22' 00 02' 5S 10 20' Mars in ephemeris Nov. 14 subtract Mars travel EGMTI Mars is 10 Leo 20 at birth.

From Nov. 13 to Nov. 14, 1930, Jupiter moves only 1' retrograde; therefore its position at birth is the same as that in the ephemeris, 20 Cancer 27R. From November 13 to Nov. 14, 1930, Saturn moves only 5'; therefore, as it moves less than 1' in 1/12 of a day, its position may be copied into the chart just as it is given in the ephemeris, 8 Capricorn 32. From November 13 to Nov. 14, 1930, Uranus moves only 1' retrograde; therefore its position in the ephemeris on Nov. 14 may be copied directly into chart, 12 Aries 00R. From Nov. 13 to Nov. 14, 1930, Neptune moves only 1'; therefore it may be copied in the chart just as it is in the ephemeris, 5 Virgo 37. Plutos position in January each year is given in the back of the AP ephemeris. As this planet, which was not discovered until 1930, moves less than 2 degrees in the zodiac per year, this enables its position to be ascertained within less than degree, which is close enough for purposes of delineating a birth chart. When progressed aspects are calculated to this planet it is better to have its position as precisely as possible. Influence of the Planet Pluto; Including Ephemeris of Pluto 1840 to 19601, gives the position of this planet each month from 1840 to

1

Out of print. See www.astrodienst.com for free ephemeris.

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1940; and once a year from 1940 to 1960. The positions given in that book for October, November and December, 1930 are: Day 19. 18. 18. Month X. XI. XII. 20 Cancer 53' Declination 21 N 53' 20 Cancer 44' Declination 21 N 57' 20 Cancer 16' Declination 22 N 0'

Here we find that Pluto retrograded 9' in the 30 days between October 19 and November 18. From Nov. 14 to Nov. 19 is 4 days. Then 9 (a) x 4 (d) give 36. 36 divided by 30 (c) gives 1' as the movement of Pluto during 4 days. Add 1' to the position of Pluto on Nov. 18-20 Cancer 44' and it gives the position of Pluto on Nov. 14, 1930, as 20 Cancer 45'R. Declinations For each chart, in addition to the zodiacal positions, the declinations of each planet, the M.C. and the Asc. should be calculated. Declination of a planet, the M.C., or the Asc. is its angular distance north or south of the celestial equator. As the movement by declination is so slow, those of the more slowly moving planets may be copied from the ephemeris, or be ascertained merely by inspection. The declination of the Moon should be calculated by logarithms, just as in calculating the zodiacal position of a planet. It should be noted that when a planet moves from north declination to south declination, or from south declination to north declination, the daily motion is not to be had by subtracting the smaller declination from the greater, as otherwise is the case, but is the sum of the north declination and the south declination as recorded in the ephemeris. Other than the Sun and the Moon the declinations are given every third day in the AP Ephemeris. The daily motion of a planet, therefore, is found by dividing the difference between its two successive positions by 3. The M.C. and Asc. always have the same declination as the Sun does when in the same sign, degree and minute. The ephemeris for any year will show the declination of the Sun when near these longitudes. However, by using the Table of Declination of Angles in Part Three (page 164), finding the exact declination of the M.C. and Asc. is facilitated. The correction can be made in one of two ways. The calculations can be made mentally when the difference in longitude is approximately (30'), 1/3 (20'), (15'), etc. Such calculations appear in the following example charts. In other cases, it is easier to handle the problem by logs, using the following Formula: (a) Difference between the nearest and next nearest longitude in Table.

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(b) Difference between the given longitude and the nearest longitude in Table. (c) Difference in declinations given for the nearest and next nearest longitude in Table. (d) The correction to be made. Convert (a), (b) and (c) to logs: then (b) minus (a) plus (c) equals (d). EXAMPLE: To determine the declination of 28 Virgo 34, the birth Asc. in Chart (B). (b) 1.7434 (a) 1.3802 .3632 (c) 1.7781 (d) 2.1413 0 N 23' 10' 0 N 33' 26' 60' subtract 24' add 10' nearest declination Add (declination increasing) Asc. declination at birth Calculating Planetary Declinations in Chart (A) The Sun on November 14, 1930, has declination 18 S 07. Between Nov. 13 and Nov. 14 it moves 16' by declination. 1/12 of 16 gives 1' for its motion during 2h 16m. Subtracting 1' from 18 S 07 gives 18 S 06 as the declination of the Sun at birth. The Moon on November 14, 1930, has declination 13 N 37. It decreases declination between Nov. 13 and Nov. 14, 5 35'. Log. (a) Log. (d) Log. (b) 13 N 37' 32' 14 N 09' .6333 1.0248 1.6581 5 35' 0 32' Moon moves Nov. 14 add Constant Log. Moon moves in 2h 16m.

Moon Nov. 14 add as decl. is decreasing. declination of Moon at birth.

Between Nov. 13 and Nov. 16, 1930, Mercury increases declination 85'. 1/3 of 85 gives 28' as the daily motion. 1/12 of 28 gives 2' as the motion during 2h 16m. 19 S 22' 28' 19 S 50' 02' 19 S 48' declination Mercury Nov. 13 add daily motion declination Mercury Nov. 14 subtract motion for 2h 16m declination Mercury at birth.

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Between Nov. 13 and Nov. 16, 1930, Venus decreases declination 49'. 1/3 of 49 gives 16' as the daily motion. 1/12 of 16 gives 1' as the motion during 2h 16m. 25 S 35' 16' 25 S 19' 01' 25 S 20' declination Venus Nov. 13 subtract daily motion declination Venus Nov. 14 add motion for 2h 16m declination Venus at birth.

Between Nov. 13 and Nov. 16, 1930, Mars decreases declination 11'. 1/3 of 11 gives 4' as the daily motion. As 1/12 of 4 is less than we ignore the motion during 2h 16m. 19 S 33' 4' 19 S 29' declination Mars Nov. 13 subtract daily motion declination Mars at birth.

Between Nov. 13 and Nov. 16, 1930, Jupiter increases declination only 1'. Therefore its declination on Nov. 13 may merely be copied from the ephemeris. Jupiters declination at birth is 21 N 55'. Between Nov. 13 and Nov. 16, 1930, Saturn decreases declination only 1'. Therefore its declination on Nov. 13 may merely be copied from the ephemeris. Saturns declination at birth is 22 S 46'. Between Nov. 13 and Nov. 16, 1930, Uranus decreases declination only 2'. Therefore its declination on Nov. 13 may merely be copied from the ephemeris, Uranus declination at birth is 4 N 07'. Between Nov. 13 and Nov. 16, 1930, Neptune decreases declination only 1'. Therefore its declination on Nov. 13 may merely be copied from the ephemeris. Neptunes declination at birth is 10 N 06'. Between October 19 and Nov. 18, 1930, as shown above where the positions of Pluto are given, Pluto increases declination only 4'. Therefore its declination on November 18 may merely be copied. Plutos declination at birth is 21 N 57'. The M.C. of birth is 3 Scorpio 29. Using the table of Declination of Angles in Part III, look to second column under Scorpio, and go down to 3 and 4 degrees. Answer must appear between corresponding declinations of 12:31 and 12:52. The interval sought is 29'. 29' is half a degree, thus half the difference between 12:31 and 12:52 is 10'. The 10' must be added to 12:31, and the answer is a declination of 12S41. (S, found at the head of column, indicates South Declination.)

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The birth Asc. is 7 Capricorn 55. See third column in Table and go down to 7 and 8 degrees under Capricorn. We find a difference in declination (between 23:16 and 23:12) of 4'. The Asc. falls 5', 1/12, short of 8 Capricorn. 4 divided by 12 equals zero. No correction is necessary. The declination of the Asc. is 23 S 12. Calculating All Planetary Positions in Chart (B) The EGMT Interval (d) has been found to be minus 2h. The logarithm (see Table of Proportional Logarithms) is 1.0792. This is called the Constant Log. because it is one of the logarithms that will be used in finding the distance traveled by each planet for chart (B). Log. (a) Log. (d) Log. (b) 8S 29 28' 05' 8S 29 23' Log. (a) Log. (d) Log. (b) 9S 24 48' 1 05' 9S 23 43' Log. (a) Log. (d) Log. (b) 9S 8 11' 08' 9S 8 03' Log. (a) Log. (d) Log. (b) 8S 29 53' 03' 8S 29 56' 1.3802 1.0792 2.4594 1 00' 0 05' Sun moves Nov. 21-22,1930 add Constant Log. Sun moves in 2h

Sun in ephemeris Nov. 22, 1930 subtract Suns travel EGMTI Sun is 29 Scorpio 23 at birth .2629 1.0792 1.3421 13 06' 1 05' Moon moves Nov. 21-22 add Constant Log. Moon moves in 2h

Moon in ephemeris Nov. 22 subtract Moons travel EGMTI Moon is 23 Sagittarius 43 at birth 1.1946 1.0792 2.2738 1 32' 0 08' Mercury moves Nov. 21-22 add Constant Log. Mercury moves in 2h

Mercury in ephemeris Nov. 22 subtract Mercurys travel EGMTI Mercury is 8 Sagittarius 03 at birth 1.5902 1.0792 2.6694 0 37' 0 03' Venus moves Nov. 21-22 add Constant Log. Venus moves retrograde in 2h

Venus in ephemeris Nov. 22 add Venus retrograde travel EGMTI Venus is 29 Scorpio 56 at birth

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2h is 1/12 of 24h. Therefore, for the slower planets, we need not use logarithms, but merely subtract 1/12 of the daily motion of each from its position in the ephemeris on November 22, 1930. From Nov. 21, 1930 to Nov. 22, 1930, Mars moves 17'. 1/12 of 17' is approximately 1'. 5S 12 52' 01' 5S 12 51' Mars in ephemeris Nov. 22 subtract Mars travel EGMTI Mars is 12 Leo 51 at birth

From Nov. 21, 1930 to Nov. 22, 1930, Jupiter moves 3' retrograde. 1/12 of 3' is 0. Jupiter is 20 Cancer 10R at birth. From Nov. 21, 1930 to Nov. 22, 1930, Saturn moves 6'. 1/12 of 6' is 0. Saturn at birth is 9 Capricorn 19. From Nov. 21, 1930 to Nov. 22, 1930, Uranus moves 2' retrograde. As 1/12 of 2' is less than , we merely use the position of Uranus as given in the ephemeris. Uranus is 11 Aries 47R at birth. From Nov. 21 1930 to Nov. 22, 1930, Neptune moves 1'. Therefore, we merely use its position as shown in the ephemeris. Neptune is 5 Virgo 43 at birth. As shown previously, during the 30 days from Nov. 18 to December 18, Pluto moves retrograde from 20 Cancer 44 to 20 Cancer 16, or 28'. From Nov. 18 to Nov. 22 is 4 days. Then 28 (a) x 4 (d) gives 112'. 112' divided by 30 (c) gives 4' as the movement of Pluto during 4 days. Subtract from the position of Pluto on Nov. 1820 Cancer 44and it gives the position of Pluto on Nov. 22, 1930 as 20 Cancer 40R. The Sun on November 22, 1930, has declination of 20 S 03. Between Nov. 21, 1930 and Nov. 22, 1930, it moves 13' by declination. 1/12 of 13' is 1'. Subtracting 1' from 20S03 gives 20 S 02 as the declination of the Sun at birth. The Moon on November 22, 1930, has declination of 27S54. Between Nov. 21, 1930 and Nov. 22, 1930, it moves 1 52'. Log. (a) Log. (d) Log. (b) 27 S 54' 09' 27 S 45' 1.1091 1.0792 2.1883 1 52' 0 09' Moon moves Nov. 22 add Constant Log. Moon moves in 2h

declination Moon Nov. 22 subtract Moons travel EGMTI declination Moon at birth

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Mercury on November 22, 1930, has declination of 23S08. Between Nov. 19, 1930, and Nov. 22, 1930, Mercury increases declination 1 06' (66'). 1/3 of 66 gives 22' as the daily motion. 1/12 of 22' gives 2' as the motion during 2h. 23 S 08' 02' 23 S 06' declination Mercury Nov. 22 subtract motion for 2h declination Mercury at birth

Venus on November 22, 1930, has declination of 22S44. Between Nov. 19, 1930, and Nov. 22, 1930, Venus decreases declination 1 04' (64'). 1/3 of 64' gives 21' as the daily motion. 1/12 of 21' gives 2' as the motion during 2h. 22 S 44' 02' 22 S 46' declination Venus Nov. 22 add motion for 2h (decl. decreasing) declination Venus at birth

Mars on November 22, 1930, has declination of 19N02. Between Nov. 19, 1930 and Nov. 22, 1930, declination decreases 9', or 3' per day. We use the position in the ephemeris. The declination of Mars at birth is 19 N 02'. Between Nov. 19, 1930, and Nov. 22, 1930, Jupiters declination increases 2'. We therefore copy its position from the ephemeris. Jupiters declination at birth is 22 N 00'. Between Nov. 19, 1930, and Nov. 22, 1930, Saturns declination decreases 1'. We therefore copy its November 22 position from the ephemeris. Saturns declination at birth is 22 S 43'. Between Nov. 19, 1930, and Nov. 22, 1930, Uranus decreases declination 2'. We copy its declination from the ephemeris for Nov. 22. The declination of Uranus at birth is 4 N 01'. Between Nov. 19, 1930, and Nov. 22, 1930, Neptune decreases declination 1'. We therefore copy its declination from the ephemeris. Neptunes declination at birth is 10 N 03'. Between Nov. 18, 1930, and Dec. 18, 1930, Pluto increases declination 6'. This is a little less than 1' for 4 days (Nov. 22). We therefore add 1' to its declination on November 18. Plutos declination at birth is 21 N 58'. M.C. declination calculation by use of the Table of Declinations of Angles in Part Three (page 164): The M. C. of birth is 28 Gemini 20. Look to third column under Gemini, and go down to 28 and 29 degrees. Answer must appear between corresponding declination of 23:25 and 23:26. The interval sought is 20'. 20' is 1/3, thus 1/3 the difference between 23:25 and 23:26 is 0'. Therefore, there is no correction. Declination of M.C. at birth is 23 N 25'. Asc. declination at birth is 0 N 33', as calculated in the example given under Declinations.

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HOROSCOPE MAKER Calculating All Planetary Positions in Chart (C)

The EGMT Interval (d) has been found to be minus 3h 50m. The logarithm of 3h 50 m (see Table of Proportional Logarithms in Part III) is .7966. This is called the Constant Log. because it is one of the logarithms that will be used in finding the distance traveled by each planet for chart (C). Log. (a) Log. (d) Log. (b) 1S 12 22' 09' 1S 12 13' Log. (a) Log. (d) Log. (b) 12S 17 30' 2 16' 12S 15 14' Log. (a) Log. (d) Log. (b) 1S 10 56' 19' 1S 10 37' Log. (a) Log. (d) Log. (b) 2S 14 37' 12' 2S 14 25' Log. (a) Log. (d) Log. (b) 1.3875 .7966 2.184 0 59' 0 09' Sun moves April 2, 1943 add Constant Log. Sun moves in 3h 50m

Sun in ephemeris April 3, 1943 subtract Suns travel EGMTI Sun is 12 Aries 13 at birth. .2279 .7966 1.0245 14 12' 2 16' Moon moves April 2 add Constant Log. Moon moves in 3h 50m

Moon in ephemeris April 3 subtract Moons travel EGMTI Moon is 15 Pisces 14 at birth 1.0720 .7966 1.8686 2 02' 0 19' Mercury moves April 2 add Constant Log. Mercury moves in 3h 50m

Mercury in ephemeris April 3 subtract Mercurys travel EGMTI Mercury is 10 Aries 37 at birth. 1.3010 .7966 2.0976 1 12' 0 12' Venus moves April 2 add Constant Log. Venus moves in 3h 50m

Venus in ephemeris April 3 subtract Venus travel EGMTI Venus is 14 Taurus 25 at birth. 1.5051 .7966 2.3017 0 45' 0 07' Mars moves April 2 add Constant Log. Mars moves in 3h 50m

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11S 19 06' 07' 11S 18 59'

Mars in ephemeris April 3 subtract Mars travel EGMTI Mars is 18 Aquarius 59 at birth.

3h 50m is approximately 1/6 of 24h. Therefore for the slower planets we need not use logarithms, but merely subtract 1/6 of the daily motion of each planet from its position in the ephemeris on April 3, 1943. On April 2, 1943, Jupiter moves 4'. 1/6 of 4 is 1. 4S 15 56' 01' 4S 15 55' Jupiter in ephemeris April 3 subtract Jupiters travel EGMTI Jupiter is 15 Cancer 55 at birth

On April 2, 1943, Saturn moves 6'. 1/6 of 6 is 1. 3S 8 18' 01' 3S 8 17' Saturn in ephemeris April 3 subtract Saturns travel EGMTI Saturn is 8 Gemini 17 at birth.

On April 2, 1943, Uranus moves 3'. As 1/6 of 3 is not over we may merely copy the position of Uranus from the ephemeris on April 3. Uranus is 1 Gemini 48 at birth. On April 2, 1943, Neptune moves retrograde only 1'. Therefore we may copy its position from the ephemeris on April 3. Neptune is 0 Libra 22R at birth. The AP Ephemeris, volume 1940 to 1950, shows Pluto on April 15, 1943, Leo 4.9'. As 1/10 of 60 is 6, 9/10 (.9) is 54'. Therefore the approximate position of Pluto is 4 Leo 54R at birth. Using Raphaels Ephemeris, we come closer as Plutos position is given every 10 days. Therefore, Chart (C) shows birth Pluto as 4 Leo 59R. The Sun on April 3, 1943, has declination 4 N 53'. On April 2 the Sun increases its declination 23'. 1/6 of 23 gives 4'. Subtracting 4' from 4 N 53' gives 4 N 49' as the declination of the Sun at birth. The Moon on April 3, 1943, has declination 6 S 49'. On April 2 the Moon decreases its declination 4 15'. Log. (a) Log. (d) Log. (b) 6 S 49' 41' 7 S 30' .7518 .7966 1.548 4 15' 0 41' Moon moves April 2 add Constant Log. Moon moves in 3h 50m

Moon in ephemeris April 3 add Moons travel EGMTI declination of Moon at birth.

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Between April 1, 1943 and April 4, 1943, Mercury increases its declination 2 45'. 1/3 of 2 45' gives 55' as the daily motion 1/6 of 55 gives 9' as the motion during 3h 50m. 4 N 10' 55' 3 N 15' 09' 3 N 06 declination Mercury April 4 subtract daily motion declination Mercury April 3 subtract Mercurys travel EGMTI declination Mercury at birth.

Between April 1 and April 4, 1943, Venus increases its declination 1 14'. 1/3 of 1 14' gives 25' as the daily motion. 1/6 of 25 gives 4' as the motion during 3h 50m. 17 N 08' 25' 16 N 43' 04' 16 N 39' declination Venus April 4 subtract daily motion declination Venus April 3 subtract Venus travel EGMTI declination Venus at birth.

Between April 1 and April 4 1943, Mars decreases declination 40'. 1/3 of 40 gives 13' as the daily motion. 1/6 of 13 gives 2' as the motion during 3h 50m. 16 S 02' 13' 16 S 15' 02' 16 S 17' declination Mars April 4 add daily motion declination April 3 add Mars travel EGMTI declination Mars at birth

Between April 1 and April 4, 1943, Jupiter decreases its declination only 1'. Therefore we may copy its declination on April 4. Jupiters declination at birth is 22 N 53'. Between April 1 and April 4, 1943, Saturn increases its declination 3'. 1/3 of 3 is 1'. Subtract 1' from the declination of Saturn in the ephemeris on April 4, 1943, and it gives Saturns declination at birth as 20 N 13'. Between April 1 and April 4, 1943, Uranus increases its declination only 1'. Therefore we may copy its declination on April 4. Uranus declination at birth is 20 N 24'. Between April 1 and April 4, 1943, Neptune increases its declination only 2'. Therefore we may copy its declination on April 4. Neptunes declination at birth is 1 N 09'. The declination of Pluto in the back of AP Ephemeris, volume 1940 to 1950, is given for April 15, 1943. Pluto changes declination very slowly. Therefore it may be copied as there given. Plutos declination at birth is 24 N 00'.

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M.C. of birth is 17 Taurus 20. In Declinations of Angles Table, look to second column under Taurus, and go down to 17 and 18 degrees. Answer must appear between corresponding declinations of 16:55 and 17:12. The declination sought is for 17 20'. 20' is 1/3 of a degree (60'), thus 1/3 of 17' (the difference between 16:55 and 17:12) is 6'. The 6' must be added to 16:55, and the answer, or declination of the M.C. at birth, is 17 N 01'. (N, found at head of column adjacent to Taurus, signifies North Declination.) The Asc. is 24 Leo 47. To find its declination by Logs: Look to 24 and 25 degrees under Leo in the Table of Declinations of Angles. See formula under Declinations (see page 164). (a) 2.0444 (b) 1.3802 6642 (c) 1.8573 (d) 2.5217 13 N 12 04' 13 N 16' 13' 60' 20' 04' nearest declination add correction Asc. declination at birth Calculating All Planetary Positions in Chart (D) The EGMT has been found to be 4:30 a.m. of April 21, 1943, giving an interval of 28h 30m (d) from 0h of birth day. This interval could be used as plus of April 20, 1943, to calculate the planets true positions at birth. However, as the planets are ununiform in motion during a 24-hour period and as it is easier and more accurate to work with smaller intervals, we will correct the planets from the positions of the day after birth, April 21, 1943. From zero hour (April 21) to 4:30 a.m. (April 21) gives a plus interval of 4h 30m (EGMTI). The Log. of 4h 30m is .7270. This is called the Constant Log. because it is one of the logarithms that will be used in finding the distance traveled by each planet (both in longitude and declination) for Chart (D). Reminder: the daily planetary travel between April 21 and April 22 is used, as 4:30 a.m. falls between 0h of each of these dates. Correction (b) will be added to April 21, 1943 positions. Log. (a) Log. (d) Log. (b) 1.3875 .7270 2.1145 0 59' 0 11' Sun moves April 21, 1943 add Constant Log Sun moves in 4h 30m

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2S 0 01' 11' 2S 0 12' Log. (a) Log. (d) Log. (b) 8S 6 48' 2 36' 8S 9 24' Log. (a) Log. (d) Log. (b) 2S 16 51' 19' 2s 17 10' Log. (a) Log. (d) Log. (b) 3S 6 07' 13' 3S 6 20' Log. (a) Log. (d) Log. (b) 12S 2 41' 08' 12S 2 49'

Sun in ephemeris April 21, 1943 add Suns travel EGMT Sun in 00 Taurus 12 at birth .2382 .7270 .9652 13 52' Moon moves April 21, 1943 add Constant Log 2 36' Moon moves in 4h 30m

Moon in ephemeris.April 21 add Moons travel EGMTI Moon is 9 Scorpio 24 at birth 1.1584 .7270 1.8854 1 40' 19' Mercury moves April 21, 1943 add Constant Log. Mercury moves in 4h 30m

Mercury in ephemeris April 21 add Mercurys travel EGMTI Mercury is 17 Taurus 10 at birth 1.3133 .7270 2.0403 1 11' 13' Venus moves April 21, 1943 add Constant Log. Venus moves in 4h 30m

Venus in ephemeris April 21 add Venus travel EGMTI Venus is 6 Gemini 20 at birth 1.5051 .7270 2.2321 0 45' 08' Mars moves April 21, 1943 add Constant Log. Mars moves in 4h 30m

Mars in ephemeris April 21 add Mars travel EGMTI Mars is 2 Pisces 49 at birth

4h 30m is approximately 1/6 of 24h. Therefore, for the slower planets, we need not use logarithms, but merely add 1/6 of the daily motion of each to its position in the ephemeris on April 21, 1943. From April 21, 1943, to April 22, 1943, Jupiter moves 7'. 1/6 of 7' is approximately 1'. Adding 1' to the position of Jupiter in the ephemeris on April 2117 Cancer 36gives the position of Jupiter at birth as 17 Cancer 37.

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From April 21, 1943, to April 22, 1943, Saturn also moves 7' and the correction is 1'. Saturns position in the ephemeris is 10 Gemini 07; and the position at birth is 10 Gemini 08. From April 21, 1943, to April 22, 1943, Uranus moves 3'. Since 4h 30m is more than 1/6 of 3' ('), we use a correction of 1'. Uranus position in the ephemeris is 2 Gemini 39 and the position at birth is 2 Gemini 40. From April 21, 1943, to April 22, 1943, Neptune moves only 1'. Therefore, we copy Neptunes position in the ephemeris of April 21, giving its position at birth as 29 Virgo 57R. A-P Ephemeris, volume 1940 to 1950, shows Pluto on April 15, 1943, Leo 4.9. As 1/10 of 60 is 6, 9/10 (.9) is 54'. Therefore, the approximate position of Pluto is 4 Leo 54. The Sun on Nov. 21, 1943, has declination of 11N29. On this day it increases its declination 20'. Since 4h 30m is more than 1/6 of 24h, we work by logarithms. Log. (a) Log. (d) Log. (b) 1.8573 .7270 2.5843 0 20' 04' Sun moves Nov. 21, 1943 add Constant Log. Sun moves by declination in 4h 30m

To the position of the sun, 11 N 29', add 04', and it gives the Suns declination at birth as 11 N 33'. The Moon on Nov. 21, 1943, has declination of 9N12. Can this day it increases its declination 3 52'. Log. (a) Log. (d) Log. (b) 9 N 12' 44' 9 N 56' .7929 .7270 1.5199 3 52' 44' Moon moves Nov. 21, 1943 add Constant Log. Moon moves by declination in 4h 30m

declination Moon Nov. 21, 1943 add Moons travel EGMTI declination of Moon at birth

Mercury increases its declination by 1 57' between Nov. 19, 1943, and Nov. 22, 1943. 1/3 of 1 57' (117) is 39', the amount of daily motion. Its motion for two days is 1 18'. Adding this to 17 N 20', its declination on Nov. 19, gives 18 N 38' as its declination on Nov. 21, 1943. Log. (a) Log. (d) Log. (b) 18 N 38' 07' 18 N 45' 1.5673 .7270 2.2943 0 39' 07' Mercury moves Nov. 21, 1943 add Constant Log. Mercury moves in 4h 30m

declination Mercury Nov. 21, 1943 add Mercurys travel EGMTI declination of Mercury at birth

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Venus increases declination by 46' between Nov. 19, 1943, and Nov. 22, 1943. 1/3 of 46' is 15 1/3', its motion for 1 day. Its motion for 2 days is 30 2/3', or 31'. Adding this to 22 N 13' gives 22 N 44' as its declination on Nov. 21, 1943. Log. (a) Log. (d) Log. (b) 22 N 44' 03' 22 N 47' 1.9823 .7270 2.7093 0 15' 03' Venus moves Nov. 21, 1943 add Constant Log. Venus moves in 4h 30m

declination Venus Nov. 21, 1943 add Venus travel EGMTI declination of Venus at birth

Mars decreases its declination by 47' between Nov. 19, 1943, and Nov. 22, 1943. 1/3 of 47' is 15 2/3' (16'), its daily motion. Its motion for 2 days is approximately 31'. Subtracting this from 12 S 23' gives 11 S 52', its declination Nov. 21, 1943. Log. (a) Log. (d) Log. (b) 11 S 52' 03' 11 S 49' 1.9542 .7270 2.6812 0 16' 03' Mars moves Nov. 21, 1943 add Constant Log. Mars moves in 4h 30m

declination Mars Nov. 21, 1943 subtract Mars travel EGMTI declination of Mars at birth

Jupiter decreases its declination 3' between Nov. 19, 1943, and Nov. 22, 1943. This is 1' per day, or 2' for two days. Subtracting 2' from 22 N 43', its declination on Nov. 19, 1943, gives 22 N 41' as its declination on Nov. 21, 1943. We consider this as the declination of birth (no correction, as Jupiters daily motion is 1'). Saturn increases its declination 3' between Nov. 19, 1943, and Nov. 22, 1943. This is 1' per day, or 2' for two days. Adding 2' to 20 N 30' (its declination Nov. 19, 1943) gives the birth declination of Saturn as 20 N 32'. As Uranus increases its declination by only, 2' between Nov. 19, 1943, and Nov. 22, 1943, we use the declination on Nov. 22, 1943, the nearest day. This is 20 N 35', the declination of Uranus at birth. Neptune increases its declination only 1' between Nov. 19, 1943, and Nov. 22, 1943. We use the declination on Nov. 22, 1943, the nearest day. This is 1 N 19', the declination of Neptune at birth. Plutos approximate declination is given in A-P Ephemeris, volume 1940 to 1950. On April 15, 1943, and also on Feb. 9, 1944, its declination is given as 24 N 00'. We use this as the Pluto declination at birth.

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M.C. at birth is 26 Libra 44. Using Logs. and the Table of Declination of Angles, determine the M.C. declination. See formula under Declinations, page 164, 26 Libra 44 falls between 26 Libra and 27 Libra. It is 44' from 26 Libra and 16' () from 27 Libra, the nearest longitude. The difference in declination is 23'. of 23' is approximately 6'. Subtracting 6' from 10 S 25' (the declination of 27 Libra) gives 10 S 19' as the declination of birth M.C. Asc. at birth is 1 Capricorn 45. The difference in declination is only 1' from 1 Capricorn to 2 Capricorn. Since I Capricorn 45 is only 15' () from 2 Capricorn, we use the declination of that degree, 23 S 25', as the declination of birth Asc. Arabic PointsAs in thousands of birth charts erected and progressed to the date of some event, The Church of Light Research Department has found no instance where a Fixed Star, the Moons Nodes, or the Part of Fortune has been required to explain either the character of an individual or any event that has happened to him, we make no use of them. It must be remembered that the positions in a chart of Uranus, Neptune and Pluto were unknown to earlier astrologers, who doubtless became aware of influences apart from the seven naked-eye orbs, and accounted for them as best they could. The Part of Fortune, one of several Arabic Points, is a point as far removed from the Ascendant by longitu